Title :
Quadratic and Copositive Lyapunov Functions and the Stability of Positive Switched Linear Systems
Author :
Mason, Oliver ; Shorten, Robert
Abstract :
We present some new results concerning the stability of positive switched linear systems. In particular, we present a necessary and sufficient condition for the existence of copositive linear Lyapunov functions for switched systems with two constituent linear time-invariant (LTI) systems. We also extend some recent results on quadratic stability for positive switched linear systems.
Keywords :
Lyapunov methods; asymptotic stability; linear systems; time-varying systems; asymptotic stability; constituent LTI systems; copositive Lyapunov functions; linear time-invariant systems; positive switched linear system stability; quadratic Lyapunov functions; Asymptotic stability; Cities and towns; Control systems; Eigenvalues and eigenfunctions; Linear systems; Lyapunov method; Switched systems; Systems biology; Vectors; Writing;
Conference_Titel :
American Control Conference, 2007. ACC '07
Conference_Location :
New York, NY
Print_ISBN :
1-4244-0988-8
Electronic_ISBN :
0743-1619
DOI :
10.1109/ACC.2007.4282527
